Effective Lagrangian from Higher Curvature Terms: Absence of vDVZ Discontinuity in AdS Space

Abstract

We argue that the van Dam-Veltman-Zakharov discontinuity arising in the $M^2\to 0$ limit of the massive graviton through an explicit Pauli-Fierz mass term could be absent in anti de Sitter space. This is possible if the graviton can acquire mass spontaneously from the higher curvature terms or/and the massless limit $M^2\to 0$ is attained faster than the cosmological constant $\Lambda \to 0$. We discuss the effects of higher-curvature couplings and of an explicit cosmological term ($\Lambda$) on stability of such continuity and of massive excitations.

23 pages, Latex, the version to appear in Class. Quant. Grav

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• Warped brane-world compactification with Gauss-Bonnet term
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• Thermodynamics and Stability of Higher Dimensional Rotating (Kerr) AdS Black Holes
• Braneworld dynamics in Einstein-Gauss-Bonnet gravity
• Hamiltonian formulation of curvature squared action
• Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with Extra Dimensions
• Graviton and scalar propagations on AdS(4) space in f(R) gravities
• Critical gravity as van Dam-Veltman-Zakharov discontinuity in anti de Sitter space
• Vacuum Persistence in Fierz-Pauli Theory on a Curved Background